Unit 4 Review: Trigonometry
Trig ratios, calculator use, right-triangle side/angle problems, problem solving with trig.
SOH CAH TOA
\(\sin\theta=\frac{\text{opp}}{\text{hyp}}\)
\(\cos\theta=\frac{\text{adj}}{\text{hyp}}\)
\(\tan\theta=\frac{\text{opp}}{\text{adj}}\)
\(\theta=\sin^{-1},\cos^{-1},\tan^{-1}\)
What You Should Be Able To Do
- Identify opposite, adjacent, and hypotenuse relative to a marked angle in a right triangle.
- Use \(\sin,\cos,\tan\) and inverse trig to find missing sides and angles.
- Choose correct calculator mode (degrees) and round answers reasonably.
- Apply trig to contexts: angle of elevation/depression, ramps, ladders, sightlines.
Progress autosaves to this device.
Video Library
SOH-CAH-TOA Basics
Opposite/adjacent/hypotenuse and the three ratios.
youtube.com – “SOH CAH TOA introduction”Solving Right Triangles
Find missing sides/angles using \(\sin,\cos,\tan\) and inverses.
youtube.com – “right triangle solving with sin cos tan”Angle of Elevation/Depression
Translate word problems into triangles and solve.
youtube.com – “angle of elevation and depression problems”Calculator DEG vs RAD
Set DEG mode and check reasonableness.
youtube.com – “trig calculator mode degrees vs radians”Interactive Tools
Right-Triangle Solver
Let \(\theta\) be the marked acute angle. Side \(a\) is opposite \(\theta\); \(b\) is adjacent; \(c\) is hypotenuse.
SOH-CAH-TOA Trainer
Angle of Elevation/Depression
Unit 4 Quizzes
Downloadable Review
Quick Practice Scratchpad
Try: A ladder of length 6.5 m rests against a wall making a \(68^\circ\) angle with the ground. How high does it reach?